Ray-Singer torsion and the Rumin Laplacian on Lens spaces

DOI10.3842/SIGMA.2022.091MaRDI QIDQ2105550

Akira Kitaoka

Publication date: 8 December 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.03276

zbMATH Keywords

analytic torsioncontact geometryCR geometryRumin complex

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Contact manifolds (general theory) (53D10) Determinants and determinant bundles, analytic torsion (58J52) Analysis on CR manifolds (32V20)

Cites Work

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• Analytic torsions on contact manifolds
• Reidemeister torsion and analytic torsion of spheres
• Differential forms on contact manifolds
• Sub-Riemannian limit of the differential form spectrum of contact manifolds
• Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry
• Reidemeister torsion and the Laplacian on lens spaces
• Symmetry, Representations, and Invariants
• ANALYTIC TORSIONS OF SPHERES
• Sub-Riemannian Limit of the Differential Form Heat Kernels of Contact Manifolds
• Analytic torsions associated with the Rumin complex on contact spheres

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